两期交换经济Contingent资产市场的指标公式

给出了均衡流形的定义，推导出了两期交换经济Ｃｏｎｔｉｎｇｅｎｔ资产市场的指标公式，并证明了资产市场的均衡存在。从而证实了Ｍ．Ｍａｇｉｌｌ“当均衡流形可定向，且Ｉｎｃｏｍｅ ｔｒａｎｓｆｅｒ矩阵Ｖ是满秩阵时，可以得到定向映射度的指标公式”的推测。

The Index Formula of Contingent Asset Market

Mod 2 degree theory, rather than oriented degree theory was used in mathematitaleconomics to show the existence of eqnilibritim, because it is not known, in general, if equilibrium manifold is an orientable one, if it is orientable, for a suitable choice of orientation, itwould permit the construction of an oriented index theorem analogous to the Dierker's mod2index theorem for the medel of exchange economy, and pendt a study of Conditions underwhich equllibrium is globally unique. M. Magill asserted in page 1553 in Handbook of mathematical economics, Vol. 4, that the equllibrium manifold will Certainly be orientable if incometransfers matrix V(p, s) always has full rank, and an index theorem could be written outfor this case. Whose assertion is the moivation of this paper. This paper deduces the indexformula and proves thc existcnce of equllibrium in the contingent asset market in an exchangeeconomic medel of two periods.